You will not earn enough on an apprenticeship to rent somewhere to live let alone eat, travel and that goes for anywhere in the country let alone London.

You are not legally old enough to rent ( sign a contract) so you will not get a place to live and apprentice wages are ￡2.73 hr

Nothing is a stupid idea, only stupid if you do something without finding the reality of it, you have asked and can see it really isn't possible, you need to be living at home to survive on apprenticeship wages

Do the apprenticeship in Liverpool, then you might have a chance of a job in London.

there is no way you can live in London on an apprentice's money.

Find the apprenticeship first, then move. Don't move without something already set up.

So the question is ? do you have to learn how to drink tea for the apprenticeship ?